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Finding the Third Proportional to 433,450.13 and 690,307.88

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Solution

The third proportional to 433,450.13 and 690,307.88 is: 1,099,376.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,450.13 : 690,307.88 = 690,307.88 : x
  2. Step 2: Convert to fraction form
    433,450.13/690,307.88 = 690,307.88/x
  3. Step 3: Cross multiply
    433,450.13x = 690,307.88 × 690,307.88
  4. Step 4: Simplify right side
    433,450.13x = 476,524,962,287.02
  5. Step 5: Solve for x
    x = 476,524,962,287.02/433,450.13
  6. Step 6: Final answer
    x = 1,099,376.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.